Strong evidences for the production of quark-gluon plasma (QGP) have been found in heavy ion collisions at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC). High temperature and/or high density can facilitate the production of QGP. In addition, for noncentral collisions, strong magnetic fields are produced with strength varying between \(eB=m_{\pi }^2\)  (\(\simeq 10^{18}\)  Gauss) at RHIC and \(eB=15\)  \(m_{\pi }^2\)  at LHC. These magnetic fields are transient, so, there are two scenarios of magnetic field: strong magnetic field (\(eB\gg T^2\) ) and weak magnetic field (\(T^2\gg eB\) ). However, the electrical conductivity can noticeably elongate the lifetimes of such magnetic fields [1]}, [2]}. In the presence of a magnetic field, charge and heat transport coefficients acquire multicomponent structures [3]}. Out of different components, our present analysis focuses on the study of electrical (\(\sigma _{\rm el}\) ) and thermal (\(\kappa \) ) conductivities using kinetic theory approach in the relaxation time approximation, where thermal masses of particles encode the interactions among them. Previously, thermal mass of quark in the strong magnetic field regime had been calculated and used in the study of transport coefficients [2]}, [5]}. In weak magnetic field limit, we assume that the phase space and the single particle energies are not affected by the magnetic field through Landau quantization [6]}, rather, the main contribution of the magnetic field enters through the cyclotron frequency. As an application, we also study the Knudsen number (\(\Omega \) ) to understand the local equilibrium property in the presence of weak magnetic field and finite chemical potential.
